Answer:
5,000,000 times larger.
Step-by-step explanation:
We are asked to find \(3\times 10^{-5}\) in how many times greater than \(6\times 10^{-12}\).
To solve our given problem, we will divide \(3\times 10^{-5}\) by \(6\times 10^{-12}\) as shown below:
\(\frac{3\times 10^{-5}}{6\times 10^{-12}}\)
Using exponent rule \(\frac{a^m}{a^n}=a^{m-n}\), we will get:
\(\frac{3\times 10^{-5}}{6\times 10^{-12}}=\frac{3}{6}\times 10^{-5-(-12)}\)
\(\frac{3\times 10^{-5}}{6\times 10^{-12}}=\frac{1}{2}\times 10^{-5+12}\)
\(\frac{3\times 10^{-5}}{6\times 10^{-12}}=0.5\times 10^{7}\)
\(\frac{3\times 10^{-5}}{6\times 10^{-12}}=0.5\times 10,000,000\)
\(\frac{3\times 10^{-5}}{6\times 10^{-12}}=5,000,000\)
Therefore, \(3\times 10^{-5}\) is 5,000,000 times larger than \(6\times 10^{-12}\).
